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Suppose that the function h is defined, for all real numbers, as follows.1if x #2h(x)=if x=2Find h(-5), h (2), and h (4).h(-5) = 08h (2) = 0h(4) = 0010XG?

Suppose that the function h is defined for all real numbers as follows1if x 2hxif x2Find h5 h 2 and h 4h5 08h 2 0h4 0010XG class=

Respuesta :

Given,

The expression of the function is,

[tex]h(x)=\begin{cases}{-\frac{1}{4}x-1,\text{ if x}2} \\ {} \\ 1,\text{ if x }=2{}\end{cases}[/tex]

The value of h(-5) is,

[tex]h(-5)=-\frac{1}{4}(-5)-1=\frac{5}{4}-1=\frac{5-4}{4}=\frac{1}{4}[/tex]

The value of h(2) is,

[tex]h(2)=1[/tex]

The value of h(4) is,

[tex]undefined[/tex]

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